Solve 3*2/3+4*2tdt

$$\frac { 3 * 2 } { 3 + 4 * 2 t } d t$$

Evaluate

$$\frac{6dt}{8t+3}$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6}{3+4\times 2t}dt$$

Multiply 4 and 2 to get 8.

$$\frac{6}{3+8t}dt$$

Express \frac{6}{3+8t}d as a single fraction.

$$\frac{6d}{3+8t}t$$

Express \frac{6d}{3+8t}t as a single fraction.

$$\frac{6dt}{3+8t}$$

Differentiate w.r.t. t

$$\frac{18d}{\left(8t+3\right)^{2}}$$